# Thermodynamic and Mechanic Consideration on the stability of Anti-symmetric Schaefer's equation
> Suriamihardja D.

URL kanonis: https://discover.unhas.ac.id/publications/thermodynamic-and-mechanic-consideration-on-the-stability-of-anti-symmetric-scha
Jurnal / Konferensi: Journal of Physics Conference Series
Tahun terbit: 2018
DOI: https://doi.org/10.1088/1742-6596/979/1/012082
ISSN: 17426588
Citations: 1

## Authors
- Suriamihardja D.

## Abstract
Schaefer's equation relates an interaction between population of fishes and the number of units of fishing effort. The population growth of fishes is reduced by the number of units of fishing effort, while the population growth of units of fishing effort depends on the existence of fishes. This paper aims to examine the stability of an anti-symmetric Schaefer's equation through thermodynamic and mechanic procedure using a formula of entropy production near equilibrium which is recognized as Onsager's relation. The results confirm that entropic approach (thermodynamics) and dissipative approach (mechanics) are usable to be applied as Lyapunov's procedure in examining the stability of systems of differential equations.

## Keywords
- Dissipative system
- Mathematics
- Lyapunov function
- Population
- Applied mathematics
- Entropy (arrow of time)
- Thermodynamics
- Statistical physics
- Stability (learning theory)
- USable
- Mathematical economics
- Physics
- Sociology
- Computer science
- Nonlinear system
- Quantum mechanics
- Machine learning
- Demography
- World Wide Web

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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